Applied Mathematics

Alright, I'm new here. I just had a discussion with someone, about statistical probabilities vs. quantum probabilites. I argued that if you control every single variable and factor of an event, you can predict the result. He argued that quantum probability leaves doubt with whether or not that result will come about, even if you are certain, and statistics back you. For example, if you light a magnesium ribbon on fire, it will flare brightly. I know that, you know that, we all know that. Even not controlling every single factor (minus the lab blowing up or something like that), you KNOW that the magnesium will flare brightly. Can quantum probability overrule tha…

This was posted by someone else on another site. It is a fin problem that I now pose to you. You have to choose randomly (with a 50-50 chance) between two people using three unfair coins. How do you do it? The coins can be unfair in any specific specified way (they just cannot be 50-50 for heads and tails). And, for a nice start (and easier problem), how would you do it with three fair coins?

The right triangle presented in the small pdf attachment (9k) has a mathematically perfect solution for one particular angle. The use of the wavelength of the precession emission of neutral hydrogen as the wavelength multiplier is the significant feature of the geometric-mathematical relationship. I have not been able to find any literature that involved the use of the stated wavelength multiplier and wonder if any forum members have knowledge of its use elsewhere.

You know these questions when they ask you to find out how many triangle are there in the diagram? Well, is there an actual formula that can be used???

I'm finding it hard to do geometry proofs. I can handle analytical proofs, but the vector and deductive proofs are way over my head... How do you guys approach these types of proof?

from October 11, 2003 SAT I: Reasoning Test.

In a particular retail store the average price of a typical two-seater sofa has been £200 and average sales were 1000 per year. This year the store has run a half price sale on such sofas and found that sales increased by 50%. Question: Find a hyperbolic model for demand in terms of price.

Hey, I came across this question: Suppose X is a Poisson random quantity with parameter lambda>0 i.e suppose P[X=k}= e^-lambda * lambda^k /k! for k=0,1,2 etc a). derive a formula for E (X) in terms of lambda b). Show that E[X(X-1)] = lambda squared c). Derive a formula for Var(X) in terms of lambda For part a i'm assuming that the answer is just 'lambda' and also for part c since variance and E(X) is equal in the Poisson dist. and lambda = mean. Is this correct? However Im sttuck on part b. I deducted the following .... E(X(X-1)) = E(X^2 -X) = E(X)E(X) - E(X) but this equates to lambda^2 - lambda. where am i going wrong?? …

Class freq 0 -1000 4 1000 - 2000 16 2000 - 3000 f3 3000 - 4000 f4 4000 - 5000 f5 5000 - 6000 6 6000 - 7000 4 ------------------------ Median = 3350 and Mode = 3400 What are f3, f4,f5

I am looking at spherical coordinates within a modelling package, i am concentrating on drawing curves from equations. The equation i have produced is: Rho=5+1*sin(90*theta*10) Theta=360*t Phi=100*sin(10*theta*10) Which produces a kind of a 'lemon squeezer' form. But can anyone please explain the equation to me? How it is plotted, what controls what etc? Is it possible to plot this using a maths calculator? And are any free to download which would be suitable? Would this equation be possible to plot by hand? If so, where would be my starting point? does anyone know of any other 3d curves in space that can be written parametrically? Many th…

Hi all, I'm trying to derive a formula that describes the motion of a number of bars linked together. Three arms are connected perpendicular to the corners of a triangle..... /\''''''''''' /_\........ How do I calculate the possible movement of the triangle?

Consider the following: Period Shop Sales Customers Region 1 A 100 10 North 2 A 250 40 North 1 B 500 35 North 2 B 600 20 North 1 C 100 5 South and so on... I have calculated the average sales per customer for each region by adding up the sales and cutomer columns for each region and dividing total sales by total …

This is the question I liked the most from my STEP exam today. 13. In a rabbit warren, underground chambers A, B, C and D are at the vertices of a square, and burrows join A to B, B to C, C to D and D to A. Each of the chambers also has a tunnel to the surface. A rabbit finding itself in any chamber runs along one of the two burrows to a neighbouring chamber, or leaves the burrow through the tunnel to the surface. Each of these three possibilities is equally likely. Let pa, pb, pc and pd be the probabilities of a rabbit leaving the burrow through the tunnel from chamber A, given it is currently in chamber A, B, C or D, respectively. (i) Explain why pa = 1/3 + (1/3)…

Can someone check over my proof please? Thanks. I'm using the delta symbol to signify triangle Question: S is the midpoint of side QR of :delta: PQR. QT & RW are drawn perpendicular to PS or PS extended. Prove that QT=RW: Here's my sol'n: In :delta: QTS & :delta: RWS: 1. QS = RS (given) 2. Angle QTS = Angle RWS (given) 3. Angle TSQ = Angle WSR (Opp. Angle Theorem) 4. Therefore :delta: QTS :cong: :delta: RWS (Angle Angle Side) (State1, S2, S3) 5. Therefore QT=RW Thanks. It's for a hw presentation for Monday. I've attached a jpeg of what the question looks like:

hey what exactly did Ramanujan do in the field of conic sections?

Who invented these ratios?

Suppose a triangle is made up of various different shapes. No matter how you rearrange those shapes, the area should still be the same, correct? Either I'm missing something obvious, or its been too long since I've taken geometry..

I was trying to relate black holes and pi and circles-I tried asking dr Karl... I was thinking that the one side of the line measures the other side of the line...whereas with a circle this is not true. ...this might reperesent the communication breakdown that is always the same..{haHa} The number pi goes on forever, and given the chance it would.. {..I wanted to ask dr Karl about what would happen if you looked at a black hole...but that was not my first question and so i never got to it...} So a black hole,,something something-i can't explain it twice...jeez.Have a look at dr karl!! Shanks Jon …